What is the Least Common Multiple of 19095 and 19110?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 19095 and 19110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19095 and 19110, than apply into the LCM equation.

GCF(19095,19110) = 15
LCM(19095,19110) = ( 19095 × 19110) / 15
LCM(19095,19110) = 364905450 / 15
LCM(19095,19110) = 24327030

Least Common Multiple (LCM) of 19095 and 19110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19095 and 19110. First we will calculate the prime factors of 19095 and 19110.

Prime Factorization of 19095

Prime Factorization of 19110

Now multiplying the highest exponent prime factors to calculate the LCM of 19095 and 19110.

LCM(19095,19110) = 3¹ × 5¹ × 19¹ × 67¹ × 2¹ × 7² × 13¹
LCM(19095,19110) = 24327030